"Wavelets on Intervals Derived from Arbitrary Compactly Supported Biorthogonal Multiwavelets"Michelle, MichelleThe construction of multiwavelets on a bounded interval, which can preserve most of their original properties on $\mathbb{R}$, is fundamental in theory and applications (e.g., images and numerical PDEs). Except for a few concrete examples, no systematic construction method for multiwavelets on a bounded interval is available. Hence, given any compactly supported biorthogonal multiwavelet on $\mathbb{R}$, we present a direct approach, to construct all possible locally supported biorthogonal multiwavelets on [0,1] satisfying prescribed vanishing moments, polynomial reproduction, and homogeneous boundary conditions. It neither explicitly involves dual refinable functions nor dual multiwavelets. For the sake of illustration, some examples of orthogonal and biorthogonal multiwavelets constructed on [0,1] will be given. This is joint work with Bin Han. |
| http://univie.ac.at/projektservice-mathematik/e/talks/Michelle_2021-06_ICCHA_Michelle.pdf |
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